Graphical Representation of Sequentially Paired Rankings

Paired rankings data comes to us in two situations. One Situation is when pairs of subjects, say husbands and wives, are asked to rank a group of objects. Such simultaneously paired rankings need symmetric approach(Han, 2003). Another situation is when subjects are asked to rank a group of same objects at two time points, say, before and after the treatment. Such sequentially paired rankings need conditional approach. In this study, we will propose graphical methods for sequentially paired ranking. Specifically, we will propose row plots, in which the interpoint distances between plot points can be interpreted as approximation of the rank distance between rankings given by corresponding subjects in Kendall s sense. We will also propose a procedure for detecting the trend in sequentially paired rankings.